徐州师范大学学报（自然科学版）
徐州師範大學學報（自然科學版）
서주사범대학학보（자연과학판）
JOURNAL OF XUZHOU NORMAL UNIVERSITY(NATURAL SCIENCE EDITION)
2008年
3期
34-37
,共4页
可积系统%对合系%Hamiltoian系统%非共焦对合系
可積繫統%對閤繫%Hamiltoian繫統%非共焦對閤繫
가적계통%대합계%Hamiltoian계통%비공초대합계
integrable system%involutive system%Hamiltonian system%nonconfocal involutive system
共焦对合系对确定有限维Hamiltonian系统的可积结构起着重要的作用,与有限维可积系统相联系的许多对合系可由共焦生成元生成.据此,提出一个一般的对合系的生成元.作为应用,导出一类新的Liouville意义下的有限维完全可积系统.
共焦對閤繫對確定有限維Hamiltonian繫統的可積結構起著重要的作用,與有限維可積繫統相聯繫的許多對閤繫可由共焦生成元生成.據此,提齣一箇一般的對閤繫的生成元.作為應用,導齣一類新的Liouville意義下的有限維完全可積繫統.
공초대합계대학정유한유Hamiltonian계통적가적결구기착중요적작용,여유한유가적계통상련계적허다대합계가유공초생성원생성.거차,제출일개일반적대합계적생성원.작위응용,도출일류신적Liouville의의하적유한유완전가적계통.
The confocal involutive systems play a central role for determining the integrability structure of finite-dimensional Hamiltonian systems. Based on the observation that quite a few involutive systems associated with finite-dimensional integrable systems are generated from a confocal generator, a general generator of involutive systems is proposed. As an application, a new class of finite-dimensional completely integrable systems is derived in the Liouville sense.
